# supremum In A Sentence

Learn how to use **supremum in a sentence** and make better **sentences with `supremum`** by reading **supremum sentence examples**.

- A theorem of Yakov Sinai in 1959 shows that the
**supremum**is actually obtained on partitions that are generators. - The Krull dimension of a ring is the
**supremum**of the heights of all maximal ideals, or those of all prime ideals. - And looking at infimum, it seems you should have used
**supremum**.-- talk ) 17 : 06, 3 January 2009 ( UTC). - No, ZFC requires augmentation with some second order logic to get the reals because of the
**supremum**axiom. - *PM : infimum and
**supremum**for real numbers, id = 7638 new .-- WP guess : infimum and**supremum**for real numbers-- Status:. - Where the
**supremum**is taken over all finite measurable partitions. - This set has a
**supremum**but no greatest element. - The mutual information of QAM can be evaluated in AWGN channel capacity, which is the
**supremum**among all possible choices of symbol statistical distributions. - Paman presents in his book the concepts of " minimaius " and " maximinus ", a far antecedent of the mathematical concepts of infimum and
**supremum**. - In this case, the infimum is set intersection, and the
**supremum**is set union. - Namely the
**supremum**over stages of the cost for x goes to 0 as x increases. - It follows by an induction argument that every non-empty finite subset of a lattice has a join (
**supremum**) and a meet ( infimum ). - Suppose that textstyle rho _ max is the
**supremum**of the diameters of such balls. - Here the
**supremum**is taken over all the continuously differentiable functions vanishing on the boundary of " D ". - Here, " lim sup " denotes limit
**supremum**of the sequence of events, and each event is a set of outcomes. - If all directed subsets of a poset have a
**supremum**, then the order is a directed complete partial order ( dcpo ). - From definition of CPO follows that this set has a
**supremum**, we will call it m. - ATR 0 is impredicative, and has the proof-theoretic ordinal Gamma _ 0, the
**supremum**of that of predicative systems. - The space " Y " should also be an ordered set, so that the notions of
**supremum**and infimum make sense. - The
**supremum**of all such functions, along with the monotone convergence theorem, then furnishes the Radon-Nikodym derivative. - The easiest example of a
**supremum**is the empty one, i . e . the**supremum**of the empty set. - The limits infty and- infty are allowed, but they do not represent valid values for the index, only the
**supremum**or infimum of such values, respectively.

**Similar words:**Supranaturalism, Supernaturalistic, Supportingly, Supremacy, Supplementarily, Superieur, Supercooling, Superstates, Suppurations, Supari, Supportiveness, Superintense, Supercommentary, Supergiant, Superstition, Suppler, Superelevation, Supersmooth, Suppositories, Supporters